Double bremsstrahlung from high-energy electron in the atomic field

Abstract

The differential cross section of double bremsstrahlung from high-energy electron in the electric field of heavy atoms is derived. The results are obtained with the exact account of the atomic field by means of the quasiclassical approximation to the wave functions and the Green's function in the external field. It is shown that the Coulomb corrections to the differential cross section (the difference between the exact result and the result obtained in the leading Born approximation) correspond to small momentum transfers. The Coulomb corrections to the differential cross section of double bremsstrahlung are accumulated in the factor, which coincides with the corresponding factor in the differential cross section of single bremsstrahlung. At small momentum transfer, this factor is very sensitive to the parameters of screening while the Coulomb corrections to the spectrum have the universal form.

17 pages, 5 figures. arXiv admin note: text overlap with arXiv:1501.03897

References in corpus (4)

• Quasiclassical approach to high-energy QED processes in strong laser and atomic fields
• Charge asymmetry in the differential cross section of high-energy bremsstrahlung in the field of a heavy atom
• High-energy $e^{+}{e}^{-}$ photoproduction cross section close to the end of spectrum
• High-energy $e^{+}{e}^{-}$ photoproduction in the field of a heavy atom accompanied by bremsstrahlung